Answer:
Step-by-step explanation:
P(-2,-1) and Q(4,3)
average of x-coordinates = (-2+4)/2 = 1
average of y-coordinates = (-1+3)/2 = 1
midpoint of PQ: (1,1)
distance between midpoint and Q = √((4-1)²+(3-1)²) = √13
(x-1)² + (y-1)² = 13
Answer:
there is 21 boys
Step-by-step explanation:
hope that helps
6 × 2 = 12 so 6 is the dilation factor
thus 4 × 6 is PQ which is 24
The descriptions of the transformations are:
- Vertex: (-6, 0)
- Stretch factor: 2
- Domain: set of all real numbers
- Range: set of real numbers greater than or equal to 0
<h3>How to describe transformations, graph, and state domain & range using any notation?</h3>
The function is given as:
f(x) = -2|x + 6|
The above function is an absolute value function, and an absolute value function is represented as:
f(x) = a|x - h| + k
Where
Vertex = (h, k)
Scale factor = a
So, we have:
a = -2
(h, k) = (-6, 0)
There is no restriction to the input values.
So, the domain is the set of all real numbers
The y value in (h, k) = (-6, 0) is 0
i.e.
y = 0
Because the factor is negative (-2), then the vertex is a minimum
So, the range is all set of real numbers greater than or equal to 0
Hence, the descriptions of the transformations are:
- Vertex: (-6, 0)
- Stretch factor: 2
- Domain: set of all real numbers
- Range: set of real numbers greater than or equal to 0
Read more about absolute value function at
brainly.com/question/3381225
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The answer is 60 it was easy